2010 Student Research Conference:
23rd Annual Student Research Conference

Instant Form Calculation of the Three-Body Problem in Relativistic Hamiltonian Dynamics
Ian F. Noble* and Brian P. Carmignani
Dr. Peter Rolnick (Retired), Faculty Mentor

Relativistic Hamiltonian Dynamics is invariant under any transformations of coordinates while also expressing the equations of motion in the Hamiltonian form. This is useful in interpreting medium energy scattering experiments, where neither quantum field theory nor non-relativistic quantum mechanics is feasible. Different forms in Relativistic Hamiltonian Dynamics correspond to different divisions of the ten Poincare generators as either kinematic or dynamic. I will be calculating the charge-form factor for a three body system corresponding to a scattering experiment using the instant form. In this form, any transformations that dont change the system from a single instant are kinematic. Thus, any displacement or rotation is dynamic, while the time and boost transformations are kinematic. This is part of a larger project to compare the three main forms for the same potential in order to examine their differences. With this information, experimenters will be able to make the appropriate choice of form.

Keywords: Relativistic Hamiltonian Dynamics, Scattering, Instant Form


Presentation Type: Oral Paper

Session: 18-4
Location: MG 1096
Time: 10:15

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